49983648 has 144 divisors (see below), whose sum is σ = 155782368. Its totient is φ = 13939200.

The previous prime is 49983643. The next prime is 49983649. The reversal of 49983648 is 84638994.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49983648.

It is not an unprimeable number, because it can be changed into a prime (49983643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150843 + ... + 151173.

It is an arithmetic number, because the mean of its divisors is an integer number (1081822).

Almost surely, 2^49983648 is an apocalyptic number.

49983648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49983648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77891184).

49983648 is an abundant number, since it is smaller than the sum of its proper divisors (105798720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49983648 is a wasteful number, since it uses less digits than its factorization.

49983648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 49983648 is about 7069.9114563055. The cubic root of 49983648 is about 368.3629846298.

It can be divided in two parts, 4998 and 3648, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 49983648 in words is "forty-nine million, nine hundred eighty-three thousand, six hundred forty-eight".